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Mathematics, 05.05.2020 04:18 CarleySamuel
Examination of a large sample of people revealed a relationship between calcium intake and blood pressure. The relationship was strongest for black men. Researchers therefore designed a randomized comparative experiment. 21 healthy black men were randomly assigned to two groups: 10 of the men received a calcium supplement for 12 weeks, while the control group of 11 men received a placebo pill that looked identical. The response variable is the decrease in systolic (top number) blood pressure for a subject after 12 weeks, in millimeters of mercury. An increase appears as a negative response. Here are the data:
Group 1 (calcium): 7 -4 18 17 -3 -5 1 10 11 -2
Group 2 (placebo): -1 12 -1 -3 3 -5 5 2 -11 -1 -3
(a) Construct a 95% confidence interval for the difference in the means of systolic blood pressure (Calcium - placebo). Interpret results in terms of the context of the problem.
(b) Does increasing the amount of calcium in our diet reduce blood pressure? Carry out a hypothesis test with a significance level 5%. Make sure to write the corresponding hypotheses before carrying out your test.
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